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Finding the Fourth Proportional to 29,613, 40,865.96 and 16,365

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Solution

The fourth proportional to 29,613, 40,865.96 and 16,365 is: 22,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613 : 40,865.96 = 16,365 : x
  2. Step 2: Convert to fraction form
    29,613/40,865.96 = 16,365/x
  3. Step 3: Cross multiply
    29,613x = 40,865.96 × 16,365
  4. Step 4: Simplify right side
    29,613x = 668,771,435.40
  5. Step 5: Solve for x
    x = 668,771,435.40/29,613
  6. Step 6: Final answer
    x = 22,583.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.